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You asking for a lot of guessing and opnions. The only true answer lies in experimenting. No tire, even of the worst kind, just lets go suddenly unless there is some other factor involved like gravel, pothole, water or fuel/oil on a road. All that is assuming that your suspension is set up correctly starting with correct spring rate for your weight but that's a basic for any riding at all anyway so there is no point to discuss it here. It starts with a little sideways moves that you can easily feel and control. On a clean dry asphalt at 25 deg + you can get any tire right to the edge safely and easily. Though it feels a bit 
on a 60 profile at first they do not slide that easily. Find yourself a nice corner with a good visibility ahead on a quite road. Make sure it is clean and do few runs through progressively and SLOWLY increasing the speed with a steady roll on throttle. You will get to the edge long before you will feel any sliding. When it starts to slide you have only a margin left, size of which depends on a type of tyre. With a track tyres is fairly substantial, with a road tyres is much less. Then it is only up to you when to stop.
Oh, proper riding gear is a must.
PS. It can feel like sliding out of the corner when you are getting on the gas for three reasons
1 to soft spring at the rear
2 not enogh compression damping
3 to shallow swingarm angle (which is a result of your soft spring really) - the lowering links often mess the correct suspension geometry
The rear basically sinks down giving you feeling like the tire is sliding.
on a 60 profile at first they do not slide that easily. Find yourself a nice corner with a good visibility ahead on a quite road. Make sure it is clean and do few runs through progressively and SLOWLY increasing the speed with a steady roll on throttle. You will get to the edge long before you will feel any sliding. When it starts to slide you have only a margin left, size of which depends on a type of tyre. With a track tyres is fairly substantial, with a road tyres is much less. Then it is only up to you when to stop. Oh, proper riding gear is a must.
PS. It can feel like sliding out of the corner when you are getting on the gas for three reasons
1 to soft spring at the rear
2 not enogh compression damping
3 to shallow swingarm angle (which is a result of your soft spring really) - the lowering links often mess the correct suspension geometry
The rear basically sinks down giving you feeling like the tire is sliding.
"It is not a shame to not know, the shame is to not know and not to ask"