I was trained with FIPS/CMAS method in the seventies (probably very similar to BSAC). We were given the US Navy tables but trained to use them with two significant modifications with respect to the US Navy manual:
1) ascent speed had to be as slow as possible, specially close to the surface, and in any case never exceeding 10 m/minute, whilst the US Navy manual was prescribing a fixed constant speed of 18m/minute
2) bottom time had to be computed from leaving surface up to when reaching the first deco stop at 6m (or at 9m);
so in case of a slow ascent there is no harm, as the additional time taken is counted as bottom time.
We were also trained to consider standard to make just one dive each 24h. In exceptional cases a second dive was allowed (but strongly discouraged), using US Navy tables for repetitive dives, and with a minimum surface interval of one hour. If the interval was shorter, the rule was to consider directly the sum of the two bottom times, and the max depth of the two dives, actually as it was a single, long dive.
So no degassing at surface was considered. We were told that, due to the distribution of tissues on the human body, after a deep dive with deco (the standard at that time) some tissues were so saturated of Nitrogen at the time of exiting water, that they were still giving Nitrogen to less saturated tissues for several minutes after emerging, hence the quantity of gas dissolved in these slower tissues was actually INCREASING for a short time after emerging. Only after an hour all tissues started to effectively reduce the amount of Nitrogen compared to the moment of emerging. The deco models used at the time (Haldane modified) were not taking into account these effects (tissue-to-tissue transfers), for them the content of nitrogen in each tissue is always decreasing after emerging, hence it was considered unsafe to rely on these deco models for very short surface intervals.
I warmly hope that modern computers take these phenomena in proper account, and are safe for short surface intervals.