Chinese ratings are rarely trustworthy. Using those probes on any circuit with more than 50V on it would be a gamble that could kill your scope, and also you, if you attempt to handle the probes with power on.
If you are probing higher voltage circuits, you need brand-name probes, manufactured and tested to real specs (i.e. backed by a 1st word standards org), with an adequate voltage rating, at least 50% more than the max peak voltage you expect to find, and a minimum of a CAT II rating if working on the primary side of PSUs or on circuits fed by HV DC rails with large reservoir caps. If the probe doesn't have a manual (paper or online) with a curve for voltage derating with frequency, its almost certainly not reputable enough for this sort of usage. Beware of fakes - if its far cheaper than brand-name's RRP and sold outside of official distribution channels, odds are it isn't genuine and wont meet its specs.
Use an isolating transformer and hard-wire a ground to the negative side of the primary side reservoir capacitor, and your scope and probe will do just fine for probing around the chopper chip, provided you DO NOT attempt to probe the MOSFET drain (or BJT chopper collector), or any part of the primary snubber network. With crappy Chinese probes I wouldn't try to look at ripple on the DC bus either, even though its within their nominal voltage rating.
However an isolating transformer removes any RCD/GFCI protection from circuits downstream of it so be very careful when probing the primary side of the PSU. Its not a good idea to try to hold the probe on a pin - if you cant hook it on without shorting anything and work hands-free, switch off, take a 1" piece of tinned solid wire (e.g a cropped component lead), form a small loop in the end and twist to secure, then solder it on as a testpoint you can hook the scope probe to before switching the power back on.