I've started back at the beginning as yours is a different case from those people without a grid connection at all. Also you are looking to run a 3ph generator to do tasks your current electricity supply will not manage. Apart from the generator bit you are similar to me in wishing to reduce costs.
I don't know what your standing charges are but mine are about £100 for gas and £100 for electricity per year, this is low enough for it not to be worth doing without a connection, even at 3% ROI that would only justify investing £7k in an alternative and you're not going to get much for that.
I cannot comment on the powerguard system as I haven't dealt with generators for 30 years apart from small ones for power tools and welding, which are petrol powered and only used occasionally and briefly where the fuel cost isn't worth considering. @Justme gave a figure of 0.6litre of diesel per kWh of electricity produced IIRC, as a litre of gasoil contains 10kWh so a conversion of 6kWh of heat to 1kWh of electricity doesn't seem so good.
No one other than I has admitted to trying to make use of some of the waste heat.
What I do have experience of is the inefficiency of running a generator all the time electricity is required and this tends to be inefficient because the generator is seldom loaded to its optimum. This is where inverters and battery systems make more sense. Yes run the generator when there is a load but bring that load up to the optimum for the generator by charging a battery. I hope @Canal Navvy can give us some real world experience especially about Victron and open source because I am a bit disappointed in the proprietary system running my inverter-charge and 6kWh battery (BTW the PV output has bombed since 6 December when the solar PV output fell below my consumption from the grid and since then has averaged only about 15% of my usage).
Small scale generation tends not to have a good rate of conversion to electricity but if my demand were more than 6kWh/day, such as charging an EV, and given I have a gas connection, I would be looking at running a little 3cylinder SI engine on gas, recovering the heat for the house and charging car and house battery at optimum load, and this should use about 270grams of gas per kWh, so just over half the energy of the example above. Yes a thermal store would be needed and the genset may need to run a couple of times a day. In terms of efficiency I feel this would be more economic than running my little diesel car but capital cost of an EV means I'll stick. Also the capital cost of replacing the generator engine every few years would be less than depreciation and O&M cost of a conventional car.
At present I am interested in just reducing my electricity imports a bit more, especially for these few months when the solar PV is not enough. I could invest in more PV panels but want to investigate a better winter production. This is why I liked some of the ideas in the link @Stere cited. The drawback of TEGs is they don't convert a lot of the heat passing through them into electricity but there is a decent match with home heating and potentially from wood. The high (ish) temperature TEGs from the example operate up to 300C (cheaper ones seem similar devices but the solder fusion temperature lowers their top temperature to below 200C and hence lowers the conversion rate). As wood burns at up to 1600C but typical firebox temperatures are around 800C some though needs to be given for exposing the devices to over high temperatures, this will tend to make a woodstove running at 4kW (e.g. the size I use) considerably larger. This big problem is to get the required delta Temperature will mean a coolant will have to extract all that 4kW at around 30C. To use heat at 30C for house heating means you are almost bound to have underfloor heating. In practice I expect I would like to see my fire and enjoy the radiant heat coming through the glass so 2kW passing through the TEG may be more realistic, it means only 100W of electricity would be available at best and the cost for the TEG alone would be £750 before the stove manufacture costs were added in. However 100W for 16 hours is 1.6kWh although only a fifth of what I need to be independent of electricity imports at this time of year and I wonder how much the water pump would use.