The article on bleeding the brakes for the 1300, and the article on avoiding the pitfalls with the 1300 brakes are both very relevant to the ST1100 ABS/CBS/TCS. I'll add the links at the bottom.
The big difference is the SMC. On the 1100, the SMC looks very much like the rear master cylinder, positioned vertically, so there is no need to tilt it when bleeding like there is with the 1300.
But the 1300 has a couple of components which are hidden away from the casual observer..

One is a three pivot linkage. It is fastened to the master cylinder, to the fork leg and to the caliper. When the brake grabs the left brake disk, the caliper wants to move along with the disk. The 3 pivot linkage converts this movement into an upward push of the secondary master cylinder.
Anyone reading this after a search for 'SMC' - I am talking here about the ST 1100.
Back to the plot. That linkage is in direct line of fire of 24 years of road muck and grime and if you live here in Yorkshire, cattle poo.
It is hidden out of sight behind that grey ABS shield attached to the mudguard and the (pink) plates get corroded, so do the pivots. And when was the last time you checked/greased those bearings ??
There are also pivot points in the fork legs brackets. I can't remember what they are. But they need checking. If these pivots cannot move, your brakes will not operate properly, and they certainly will not release as they should.
Those links for the similar ST1300
A detailed look at the process of getting the air out of the Honda ST1300 brake lines. A sequence of diagrams of the brake circuits, colour coded to show which parts of the system are being accessed when each bleed valve is opened and explanations of where the trouble spots are. These are just...
www.st-owners.com
A close hands-on look at the Honda ST1300 braking system. These are personal observations about the things that can go wrong, why they go wrong and what can be done to keep things working sweetly. Updated April 2020 and to address more recent observations, to include information about the SMC...
www.st-owners.com
TCS. The hydraulics have zero effect on the TCS.
If active, the TCS kicks in if it detects that the two wheels are spinning at different speeds or if the rear wheel is going faster than the front. It will then cut power to the engine - I think by cutting the LT power to one of the coils. Not to sure about that - its been 17 years since I sold my 1100, but I do know that how it does it is described in the manual - if not on a link that
@SMSW provided in Post #11 - I wrote that about 18 years ago - odd to see it pop up again !
[Edit] No. It retards the ignition. See @Andrew Shadow's correction further down.
If the ABS sensors aren't working, then the system will not arm, but you may want to turn it off, because having TCS kick in at odd times is really not a pleasant experience.