I'm not sure why they felt necessary to give that speech to Tily in the last episode. It would have been a good opportunity for one of the other Bridge Officers to have a moment. But no, Tily has to be the one.
Discovery has to use its supporting characters better. Burnham and Tily could both be good characters but in moderation. We've got the two ladies at the front of the bridge we barely known anything about and the tactical guy officer who is also a bit unknown. TNG/DS9/Voyager weren't perfect but the structure was good in that sometimes it was an proper ensemble episode, sometimes it was a Picard episode, sometimes a Troi episode. It gave everyone moments and stories to handle.
By contrast Discovery comes off as being quite a small show, where every plot is going to have to involve Burnham in some capacity. The extent that Tily is used is ridiculous, popping up on the Bridge delivering lines that could have easily been handed to other bridge characters. DS9 is obviously the high point but look at the way a Character like Garek or Rom are used and developed. A guest star on that show got more backstory and development than we've seen attempted with most of the Discovery characters thus far. Bringing in Spock also seems like a unnecessary move, he's a great character but I'm not really sure we needed this part of the characters life filled in, particularly as we know it would never be referenced to again. Of course, this, 'let's scribble in this tiny corner of the Trek timeline' instead of trying something completely new is a longstanding bugbear of mine about Discovery. We're enjoying Pike, not becuase of the one episode he was previously on but becuase he is a proper Trek character. Make him a completely new character and he would still be a good addition. If anything, the knowledge that the fate of this character is both already known and quite a depressing end hinders rather than helps his development.
The annoying thing is that I think there is a good show in Discovery trying to get out, the way they have handled Pike shows that, but the show is burdened with long plot arcs which are not that interesting and relies on a very small group of characters to progress the plot forward. TNG et all had around 8-10 core cast Members and by the end of each of the shows first season all the main cast had been given a moment to shine (even Geordi in Season 1 of TNG gets to take command of the Enterprise early on). By contrast, I'd count maybe 6 core cast members of Discoery (Pike, Saru, Burnham, Tily, Tyler, Staments). You add in the other Bridge Crew and you've got a usual Trek size ensemble, but the show just does not to want to give them anything to do. It's shame really.