In Feb this year arrived DXB from Kochi with 1 hour connection (set by the airline when booking) to same LGW flight as OP. Arrived 10 minutes late; bussed from remote stand listening to pre-recorded message telling me I was being "bussed from remote stand and journey could take up to to 15 minutes" (it didn't); no wait whatsoever at transit security screening. Up an escalator, round the corner to the first gate on the pier where the LGW flight was just commencing boarding, and onto the aircraft slightly over 30 minutes from landing. Very impressive transit experience and even my luggage made it to LGW.
But then again transfers are the bread and butter of Emirates and DXB and they have honed their processes to perfection.