<p>I have an FDM printer, I printed ABS for years.</p>
<p>Since SLA printers became really cheap lately and are able to print finer details, are there resins out there as strong as ABS/PLA?</p>

I'm an owner of both an FDM printer and a resin one:
I've long searched a resin capable of printing durable objects even in tiny details but with poor luck.  I've tried ABS-Like resins, and they provide a slightly better resistance than regular resin but do not expect great improvements; I've tryed the siraya tech Blue V2 that is for sure much more durable but eventually would fail on the smaller details...
In the end i think I'll try the flexible resins like the Liquicreate flexible X or the Siraya tech Tenacious because those (similarly to TPU in FDM) can better absorb energy from impacts and having a smaller young's modulus can help when under load.