ER -> HF; Leave MM for BB? Nuances inside..

I am currently working as an Associate (3-5+ years of experience) at a decent MM bank, relatively respected for their Research, covering the consumer/retail industry. I have a top 3 MBA, a CFA, [insert random credential here], etc.

Right now I get 0 inbounds from funds, respected headhunters don't return my emails, looking for opportunities myself is notoriously difficult (maybe 3-4 finds/year), and networking with clients has obviously been more difficult in this WFH/zoom world - though starting to ease lately.

I have an opportunity to join a top 2/3 (JPM, BAML, MS, EVR) firm covering a lesser TMT industry as an associate, with a path towards coverage in the near term (potentially a quicker path to coverage than at my current firm). I think you could argue the Consumer coverage at my current employer is more marquee than what I'd be covering at this new shop - though I'm probably not in a position to make that comment about it, frankly.

My question to those at HFs in hiring positions is this: would this move help me get into this buyside seat I've been looking for? Or is this just largely a lateral move with certain puts/takes?

Happy to chat via DM with more specifics.