🍏 I would say they're quite similar. In my experience, the main difference is that the word “lazy” is used much more and more understood than the word “indolent”.
Here are some synonyms from Google for indolent:
synonyms: lazy, idle, slothful, loafing, work-shy, shiftless, apathetic, lackadaisical, inactive, inert, lifeless, sluggish, lethargic, listless, languid, torpid, slow, slow-moving, dull, plodding; slack, lax, remiss, negligent, good-for-nothing
Have a great day! 😊👍🍎