You're the second person I've heard say this lately. To me, using Calendly feels like demurring to the reality that you have times that work for you, these are the times that work for me, my respect for you is so strong: pick any one of them, and I'll be there. If anything, the posturing seems submissive.
Nope, because if you are a heavy calendar user there are tons of things that could be trivially shuffled. A calendly link is “I will fit you in only if it’s extremely convenient for me”.
“Here’s the link to my calendly. If you don’t see anything that works in the next week or so, just send me over a few times that would work for you & I can reshuffle things to make one of them work.”