I can't say I feel particularly good about that. Me being... me, my first reaction would be to go along with it to see what happens. Since they said "at the moment" and "give it a try" that would make me think "Ah, so I have a chance
" despite the very lukewarm reaction. I can't imagine it would go super well or last very long. Maybe it depends on this person I'm confessing to, how long I've known them, how well we get along outside of a strictly romantic context, and whether or not they really can develop feelings for me, but even then I see that turning out to be a "let's just be friends" situation.
I imagine the date wouldn't go well because I overthink things a lot. If they don't really react or seem interested enough, I might start to think there's something wrong with me and I might not even consider that they might just be like that with everyone. Personally I'm pretty open about when I feel like I'm overthinking, so I try to be upfront about what's on my mind. In this case that might clear things up and help me decide whether or not the date was worth it since this person seems pretty honest and able to communicate. If it ends with an honest communication like that, I could see that being a good outcome regardless of if the conclusion was "let's be friends" or "let's do this again sometime"
I'm kinda curious as to why I have feelings for this person to begin with, but that's not part of the question. If I really like them and they gave me an opportunity to see what happens, I (personally) would take that since I'm a hopeless romantic. The gamble excites me and the clarity I get from knowing the outcome is cathartic. So for me, I'd say it's like a "if it works, it works" type of date, and if it doesn't work, I'm pretty capable of being friends with failed crushes, so that won't be too bad.
Hopefully this is a useful perspective :3