The fact that Blaze is grounded enough to realize how stupidly dangerous his sword is, while still unable to not be swept away by the inherent romance of big, fancy, magic weapons; qualifies as some kind of gap moe
If Keios was smart, he'd drop everything and work on getting one of the scholarship positions WITH Nicole. That way he'd spend more time with her, learn and engage with her interests, and be able see how much work she's done while he's been dorking around with Caroline.