I haven't looked at the previous threads )or even all of this one) .. so i may have some repetition.
[1] Its not just Buriton tunnel itself, the speed restrictions for quite a bit south of the tunnel (e.g. a mile or two) I suspect (and this is only a feeling) may be somewhat less than they used to.
[2] The BEPs/CEPs/CIGs on the old 1815 waterloo to fratton used to managed 95mph speedo clock speed into rowlands castle, so the curves aint really that bad.
[3] Though I think the speed through rowlands castle might be raised.
[4] A flyover at woking northbound would be good. It's about the only place that doesn't have a flyover on the main line out of waterloo to basingstoke.
[5] The track layout at haslemere means that a down train terminating there to go backup towards london cannot use the loop platform 3 without shunting; so will use platform 2. That means an overtaking/passing though train has to use platform 3 which is more speed restricted (even if stopping) rather than hurtling through on plaform 2..
[6] The alternative guildford effingham Jn. Surbiton route probably has a lower linespeed that the fundamentals of the line curvature dictate; that said pathing could be a problem.
[7] Pp 80-83
http://www.railperf.org.uk/members/milepost/MILEPOST%20241.pdf shows some train times for the Portsmouth direct over the years .... A schools 4-4-0 with 11 coaches taking 85 min from portsmouth and southsea to waterloo.
[8] Havant can be a real pinch point for southbound trains, waits of 3/4/5 minutes are not uncommon.
[9] The desiros do accelerate better than the old stock (though 4rep+4tc might have come close on southampton diversions). Especially true up the slopes, though slippery conditions can be problematic.
[10] Some of the infrastructure/stock decisions do no necessarily help the speed situation ... the lengthy door open/shut sequence of the desiros :cry: and speed restrictions around Buriton

The lack of a Passing loops at petersfield and the removal of through tracks havant (this removes a speed restriction .. great) but limits options (e.g as a temporary siding) when things go wrong/different.
[11] The fastest thing up is probably the ecs voyager for the 06:02 newcastle from guildford ... frustratingly from a passenger point of view the thing doesn't stop anywhere!
[12] There has been a tendency to increase journey times so performance targets can be met. And the journey times on this route and others have increased since privatisation. Often this means an on time arrival is more predicatable and certain; bu one cannot help but feel here is slippage.
( If I come across an old timetable i'd be interested to look at the values ).