That sort of misses the important details that [i] his gambit failed a legal challenge so he ended up calling an election instead and [ii] the reason he could t

That sort of misses the important details that [i] his gambit failed a legal challenge so he ended up calling an election instead and [ii] the reason he could try had everything to do with the broad executive powers of the PM and nothing to do with the Queen. If you scrapped the Queen and kept the PM role as it is, he'd have had the same meeting with himself!