Think about it.
The scope has a very high input impedance. With no ground, common mode unbalanced hash (inductive or electrostatic) will always give one a wave form - but not necessarily any useful one.
That's one of the reasons you have two channels - one for the signal, one for the reference - and both shielded from common mode noise, A+B or dual/add etc.
Learn to use your scope. A B&K scope made for TV servicing might have a floating ground - but unless your' re servicing TV's and only need a high frequency of 20 KHZ, you probably don't want some specialized, idiot proof, scope.
The scope is part of the "circuit under test," your body (room, power distribution network, etc.) is part of the circuit too. Think about it and learn to deal with it.
Those little pigtails from the scope probe with the ground alligator? aren't for convenience - they reduce noise pickup. Likewise a really serious switching circuit could require a very short wire to the ground slip ring at the tip of the scope and circuit under test.
Every circuit is an RF circuit if it has switching transients.