55 mph is the maximum speed possible at both AOCLs and ABCLs. The actual speed will often be lower depending on sighting conditions at the crossing.
The warning sequences for many locally monitored crossings of these types, where they are next to platforms, are initiated by push buttons operated by train crew. In these cases all trains HAVE to stop, so in addition to imposing speed restrictions, they are often suitable only for lines with a standard all stations stopping pattern.
Getting back to AHBs, the intention of any controls applied to signals nearby is to ensure that the road warning time from the first illumination of the yellow light until the arrival of the train never drops below the agreed minimum for the installation, which is usually 27 seconds today. In all cases, whether operated via stopping/non-stopping controls at the signalbox or otherwise, the only 'interlocking' applied to any signal within the strike-in distance is sufficient delayed clearance to ensure this minimum warning time. The main reason stopping/non-stopping controls are provided is because crossing legislation also requires that no more than a tiny proportion of trains arrives with warning time significantly IN EXCESS of the agreed minimum, to discourage misuse. In some cases where platforms are in the strike-in, the signal before the AHB is only there to enforce the delayed approach and has no other block function.
There was a close relative of the AHB known as the AOCR - Automatic Open Crossing Remote. Used on quieter rural roads this essentially had the same controls and lack of interlocking and local monitoring as the AHB, just without the barriers. These are now no longer permitted and I believe all historic installations have now been converted to AHB or one of the locally monitored varieties.
AHBs (and AOCRs historically) have an alarm circuit to the supervising signalbox which continually monitors power supplies and crossing sequence to ensure the lights and barriers operate in the expected order and within expected times and the system all resets correctly after the passage of each train. Crossing power supplies are backed up by batteries with a design standby life of at least 12 hours at normal duty cycle.