There was the 549. We had storage 5000 series where I worked long ago, and I've got a 350 MHz 7000 mainframe in the garage with storage, but old storage scopes are prone to CRT trouble, with no replacements to be had. If there's anything where a DSO is light years ahead, it's certainly storage and slow waveform work.
The big question is what time-frame are we interested in? I've seen popcorn noise and random jumps at pretty much any interval, but if you just stare at the scope for quite a few minutes, misbehavior should be obvious. Next step is longer term data collection at second or a few second intervals.
Drifting off-topic, many Fluke & HP gadgets used NiCad batteries for isolated operation and to keep the power up during a power failure. The 845 null meter and 731 references do it. Unfortunately, they had primitive charging methods and also used the batteries as a voltage clamp/regulator. I discovered the batteries in my "golden" 731A were shot, though they were still clamping the voltage to something reasonable. My other two units were noisy because the batteries were missing. Though I've made new battery packs in the past, they eventually suffer the same fates. NiMH batteries don't work well in this application because they can't take as heavy a trickle charge indefinitely. What seems to work well is to replace the batteries with a good sized capacitor, say 2000 uF or so, paralleled with a zener that clamps at about 14.5 volts. The combination provides the filtering and voltage limiting similar to the battery, though obviously not the remote power operation. I've never seen significant hysteresis when powering up the 731 references, so avoiding a power failure at all costs isn't very important, at least at ppm levels. Maybe different at tenth ppm levels.
Having fixed that, the SVT is only slightly noisier than my 731 references, and far less susceptible to hum, especially if powered from a regulated wall wart.