The issue is that we generally use the term pollarding when lopping or topping mature trees. True pollarding definitely has its place and even lopping/topping can be pretty successful in certain circumstances. Willows for example..
From BS 3998.
7.10 Pollarding
If pollarding is to be carried out, it should preferably start soon after
the tree has become established and is between 25 mm to 50 mm in
diameter at the selected height of pollarding (often 2 m to 3 m). The
initial pollarding cut should be made at a height which reflects site
usage but which, if possible, allows some of the pre-existing foliage
to be retained, in order to maintain physiological function and thus
reduce the probability of dieback or death.
If the tree divides into a number of stems or branches below a height
of 3 m, these should be individually cut so as to initiate a “candelabra”
framework.
If the stem has attained a diameter of more than 50 mm, but less than
about 200 mm at 2 m to 3 m height, pollarding may still be initiated.
The tree should be cut at or near the same height as a younger tree,
but extra care should be taken to retain some existing branches. Larger
trees should not normally be treated in this way (see Annex C for severe
cutting for special purposes).
Once initiated, a pollard should be maintained by cutting the new
branches on a cyclical basis. The frequency of the cycle should be decided
according to site management objectives, species, age, condition and/or
any product that might be required. Selective cutting, whereby some of
the pollard branches are retained within each cycle, should be chosen if
this would help to prevent dieback and decay in the stem.
Branches that grow after pollarding should normally be cut at their
bases in order to encourage the formation of a knuckle after a number
of cycles. If, however, the pollard cycle has been allowed to lapse over
many years, the crown should instead be reduced (see 7.7) to the
minimum necessary to fulfil current objectives. These could include the
relief of any mechanical stress that would otherwise be likely to cause
the stem to split apart.
Even if the stress on an old pollard branch is severe, it should not be
cut back to the knuckle, since the removal of all its attached foliage
would probably lead to physiological dysfunction and decay. It should
instead be shortened by cutting just above a suitable lateral branch
[see Figure 2, R©], or failing that, by retaining a live stub from which
new shoots could grow.
If crown reduction would be insufficient to safeguard those branches
that are most likely to fail, they may be reduced to stubs in one
operation (a “pole thin”), while the remaining branches are shortened
so as to retain enough of the leaf-bearing twig structure to sustain
the tree.
NOTE Retention of live stubs on lapsed pollards will often help to reduce
the risk of serious dysfunction and hence decay and weakness developing
below the knuckles.
Cuts should be made below the knuckles only in exceptional
circumstances, e.g. to prevent catastrophic failure.