I believe they travel "by nominal roll", since I saw none of the
troops carrying civilian bags during the news clip.
Traditionally, it's the same for the main body of units who go for
Ex Lancer or Starlight or Crescendo. The commuting process, by my
experience, could be quite rigid: consolidation of Ali Baba bags,
form up inside camp, load up into 3-tonner's or buses, & then
drive to the embarking area.
At Changi Airport, it was via Loyang & through a back gate for
me - which meant that, on the return trip, the SAF had their MPs
setting up tables along the road at 3am to check for contraband!
(Subjected to guard dogs sniffing for illegal stuff too.)