I wouldn't count on the FETs avalanching as a part of normal operation. You are quickly losing all margin for error. I like to keep the avalanching as an extra safety margin and try to verify the Vds(max) is never exceeded. Because it's not trivial to accurately analyze the energy they burn in avalanche and whether that limit is exceeded; it's easier to verify the Vds is not exceeded, with a simple voltage measurement.
But, it's not only about whether the FETs survive with their Vds(max) or not - there are other reasons as well.
The EMI generated in the resonance of unsnubbed, too-fast-switching inductive loop can distract the controller to malfunction - in worst case, so it blows the FETs - has happened to me. So it's not only about the voltage rating of the FETs. And EMI's not only about passing regulations - bad enough, and the device interferes with itself.
The issue is magnified by the lack of planes, which could offer some shielding, and prevent electromagnetic coupling of switching and control side by offering shortest paths to the switching AC return currents.
Planes and fills offer lower inductance even when the components are already packed as closely together as possible - you can think the fill as a set of parallel traces, and think what happens to the inductance with parallel inductors. A fill is great because it automatically (with any modern PCB tool, that is) maximizes the area; the electricity will find its way to automatically utilize that area the best. It doesn't have downsides, only benefits, when it comes to GND, Vin, Vout... OTOH, on the switch node net, a fill too large could be a capacitive transmitter and has to be avoided!