When responding to a sales inquiry, what are your thoughts on asking the prospect to book directly via your calendar link?

I try to be thoughtful by saying, "Feel free to send me times that work for you. Or conversely, for your convenience, I'm providing a link to book directly on my calendar."

Noticable Pros:

I find that it's super helpful for folks (especially international prospects) to schedule appointments if they can see my availability and reserve a time. It can take days to book a meeting without it given the possible disparity in timezones.

Possible Cons:

I don't want to "put a prospect off" by asking them to book a time on my calendar since I'm the one selling to them.