Suppose two nets are trained, A and B.
A is slow, but smart. Because its extra slowness outweighs its extra smarts, net B yields
a stronger chessplayer with equal thinking-time limits. But because it is smarter,
net A would be stronger with equal node-count (time ignored).
use net A for nodes (game positions) early in each search, then switch to net B.
E.g. the first 1000 nodes use A, then switch to B for the next 9000 nodes, then
make a move (for a 10000 node search).
There are many possible flavors of this idea. The goal is to
gain the benefits of A's extra smarts, where it pays off more, i.e. for nodes that
play a "more important" role in the search; but gain the benefits of
thinking faster about the "less important" nodes. Best of both worlds.
I have no idea whether this idea can be made to yield increased playing strength.
But it sounds plausible that it might. And the question might be easy to answer