before 1968 the timetables I have seem to be June/September with the summer extra trains in the former.
Separate summer timetable June to September was up to 1964/65.
Easter is a moveable feast though, and can end up close to Mayday
Until 1965 the spring Bank Holiday was Whit Monday, which was also a movable feast. In 1962 it was on 11 June. All of the Whit weekend was done via STN additions to the winter timetable. The summer timetable always started after Whit weekend, hence it starting in June not May.
Bank Holidays on last Monday in May and August started in 1966, prior to that August Bank Holiday had been on the first Monday.
In 1962, 1963 and 1964 the summer timetable only covered 12 weeks from mid June to early September. The finish roughly coincided with start of school autumn term.
Early May became the "norm" from about 1968
From 1965 to 1985 there was no separate summer timetable, though there were some changes made by issuing timetable supplements.
1965, 1966 and 1967 are anomalies because the change dates were driven by WCML electrification dates.
From 1968 the annual change date was the first Monday in May, but this was messed up when Mayday Bank Holiday was introduced. The start date was moved back to sit between the two May Bank Holidays.
Separate summer and winter timetables were reintroduced in 1986 with summer running from mid May to end September/start October. This gave a summer timetable of 20 weeks.
If you assume a situation whereby all we had to do was get Eurostar services in the system for the year-round and then the seasonal ones (marked up Q if needed), we could quite rightly move to a situation where we did switch to a Summer timetable at Easter and back again to "Winter" at the end of September.
Remember that when Eurostar started there was no High Speed 1 and the Eurostar trains shared tracks with local trains all the way from the tunnel to Waterloo.
On the other hand "all we had to do" for Eurostar would not have been much different from timetable planning for boat trains. Go back far enough and that also had to contend with UK and Europe "changing the clocks" at different dates.