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No, he shouldn't have to learn to use them. When open source fails this type of thinking is often why. Firefox makes a product and therefore should improve that product so that more people want to use it. Vendors in a market are rarely in a position to tell the customers in that market what they should and shouldn't do. We don't want them to be in that position either, even Mozilla. They have to improve their offerin…
I think you missed the point. I for one can't stand the chrome dev tools. I use Firefox largely because i prefer the dev tools there. So, the point is, it's possible there is no real difference and it just comes down to personal preference or what you're used to. At least, that was the commenter's point which you didn't address.
I think the dev tools in Firefox and Chrome are much more distinct from each other than Coke vs Pepsi, though. The last time I used the FF dev tools (which was admittedly over a year ago) they were much slower and their support for changing attributes on HTML tags inline was more limited. I think the Net tab had fewer features too but this is going back a while so my memory is fuzzy.
Even if the only difference is personal preference, what's wrong with Firefox trying to accommodate more users' preferences?