I'd say no. As the above posters have said the GPUs were prone to failure. These models are no longer getting feature updates (last was 10.13 from 2017), and they're not longer getting security updates (Last was November 2020).
These might be able to be upgraded to Mojave or Catalina through patches, but I'm not sure. This should give you security updates through to approximately November 2022 (Mojave) or approximately November 2023 (Catalina).
But even if you did that, to me its a lot of money to spend for something to be usable for a max of 2 and a bit years. Then there is the usability aspect. Battery life isn't going to be great and it isn't going to be fast, and really will need at the very least a SSD upgrade to be usable.
I'm still using a 2012 MacBook Pro 13 inch, and honestly it's getting slow. The Quad Core i7 in the 2011 17 inches do benchmark higher than my MacBook Pro in Multicore performance, they're about on par for single core. The 6770M graphics should be better according to this:
https://gpu.userbenchmark.com/Compa...-125-GHz-vs-AMD-Radeon--HD-6770M/m7653vsm7746. Unsure how this would translate to real world performance.
Have you thought about going for a 15 inch Mid 2012 MacBook Pro instead? You'll escape the failing GPU problem, a generation newer processor - even the base 2.3 i7 benchmarks slightly less on single core performance, but higher on multi core performance. You also get better discrete and integrated graphics, though the base 2.3 I7 mid 2012 has half the graphics memory. The other big advantage is native support for Catalina which should mean security updates to November 2023.
The Mid 2012 can also be upgraded to Big Sur with a patcher meaning security updates should come through till November 2024, and there is a good chance it will even be upgradable to Monterey (again with a patch) which should mean security updates through to November 2025!
But then again, performance still isn't *great*, you'll still need an SSD to make it tolerable and battery life isn't going to be great even with a new battery.
I don't know how much you can stretch your budget, or how much machines go for in your country but a 2015 MacBook Pro 15 inch retina would be miles and miles ahead of either the Late 2011 17 inch or the Mid 2012 15 inch. Much better screen, much better battery life, much faster, much better graphics and updatable to Monterey without hacks.