Short answer: yes, but not for the reason it used to.
The old thinking was: Creating a redirect loop (A → B → A) — some browsers catch this gracefully, others just show an error page. That framing is dated — search engines have gotten much better at figuring things out without hand-holding. But 'search engines can cope without it' isn't the same as 'it doesn't matter.'
What actually changed is who benefits. Point old URLs directly at the final destination — if A redirects to B which redirects to C, fix A to go straight to C. That's less about appeasing an algorithm and more about not wasting the crawl/attention you already have.
The practical test isn't whether it's trendy — it's whether skipping it creates work for someone else later (a crawler, a future you, a user). By that test, 301 redirect chains still earns its place.
Same question, different tool: does broken links (404 errors) still matter?
Redirect Checker either way — checking takes longer to read about than to do.
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