They're probably not any more likely to fail than one of those tiny spool o-rings on SPGs, but then again, when a spool o-ring fails, it's almost always on the boat when you pressurize it, and it takes 2 minutes to replace. When an electronic device fails, it could be ay any time and likely is not repairable.
I agree with Ron that with some experience you typically only need to check gas a few times per dive, so they don't exactly solve a big problem. This is another area where the technical dive guys have come up with a logical, practical solution; the bare SPG on a 24" hose clipped to the left D ring.
First off I disagree with only checking gas a few times a dive. This is typical of how experienced divers get into low air situations that they shouldn't. I wouldn't call needing to check your air a big problem but it is a necessity that should be done regularly and often. Having the data on your wrist makes it far easier to do than having to unclip the spg and bring it up to your line of sight.
As for the 24" hose clipped to the left D ring... All is well with that until the clip breaks, the diver forgets to clip it off or for some reason while trying to clip it off the diver doesn't get it done. These instances do happen although given not very often. However when it does you have a SPG dangling free or to get caught up in something. This is a non issue with an AI wireless computer.
As for strobes causing the loss of sync or loss of sync in general...
This is only a problem if sync is not re-established in a timely manner.
A timely manner varies depending on depth and the rate the diver is consuming gas. Most modern wireless computers do re-establish sync quite quickly if one you are diving one that does not blame the individual computer and get it fixed don't bad mouth the entire technology. SPG, inline AI computers and non AI computers all have similar failure rates if you deduct user error (or lack of user understanding) from the equation. I dive with 2) 42watt/sec. Slave strobes in addition to the internal strobe of my camera and have never had a sync issue that correlates to the firing of the strobes. For that matter I've never lost sync for more than a few seconds without being able to re-establish sync.
As for when electronic devices failing...
We are talking about well engineered solid state devices not vacuum tubes. With proper maintenance failure is rare but aside from battery failure, (which is repairable) usually it is catastrophic. This should cause a very safe response from a diver.(end the dive) An SPG on the other hand can be in a failure condition without a diver being aware the result can be a OOA incident or worse.
The feature of most AI computers are designed to give the diver more information in real time and at a glance than just time, depth and nitrogen loading. AI divers also can read their dive time remaining, Air time remaining and PO2 levels.
Sure a well trained diver can dive without the need of these devices and the extra real time info. I'd even say that a diver probably shouldn't be diving without being able to keep themselves safe without these added features. It is however comforting to know the info at any point during the dive. It allows divers that are not as well trained to also enjoy the sport safely if they at least understand proper use of the equipment.