What you suggest is certainly plausible. I’ll offer an alternative, however.
Until recently I had a very similar job to Alan. In my experience, the volume of emails is nonstop and you are basically expected to be responsive at nearly all hours. I’d check them on my phone when in transit all the time (including today while getting gas) - and an important or interesting one would have my attention regardless of where I am.
Any with the following (example) subject lines could have easily caused Alan to stop and engage and would be absolutely common in our shared line of work (my own opinion only, of course)
+ Run-of-show for 7am call
+ Alan - can you kick off 7am call, I am stuck on another mtg
+ URGENT: Client



issue we need to discuss
+ For review: documents I promised last night re:



account
Corporate consultant email barrage is of course not the only explanation for lingering at the RaceTrac. Simply an alternative.
edited for typos