My neutral light is "lazy"

Since yesterday, I noticed that after my bike sits awhile (or is cold) the neutral light does not illuminate when in Neutral. And it's hard to get it in neutral as well. Then, it will suddenly illuminate (after I shift it in gear and back out a couple of times),

When the bike is warmed up, it doesn't have an issue, either with getting into neutral or the neutral light illuminating.

What can I check to see why it's doing this?

You can check if the gear position sensor needs cleaning.

On my 05 I found condensation had got into the spring behind the gear position indicator plunger and the spring had failed. This caused a poor electrical connection from the gearchange shaft to the indicator sensor. Not only was it causing the neutral light to do what you have but with Tuneboy connected it was giving random gear indications so the ecu wouldn't know which map to use.
The sensor face had been worn badly by the spring loaded plunger, no oil gets up there, so I replaced the sensor, spring and pin/plunger and put a lot of grease on it.
No more problems with it after.

Easy job to do. LH rear of the engine, 2 bolts hold the sensor. Take it out, check face for wear, mine had a groove through all the electrical points and if you look with a mirror, in where the sensor fits, there is a small pin in a hole on the end of the gearchange shaft, check the spring, it may come out in 2 pieces.

Replacement is the best option if it's worn.

To remove the sensor completely tie some string to the wiring so you can pull the new wiring loom back in the same place, connections are behind the lh plastic triangular aux power socket panel.

Lubricate it well. Refit with sealant so water doesn't get past the rubber ring.

Thank you gentleman, for the advice and guidance.

I recall that pushing the switch to the right when tightening the screws helped this too.

if you have the R3T, there was a recall a while back about the GPS (gear positioning sensor). my neutral light had went out until they fixed that... no problems since

Nope, have the R3 Classic, but thanks for the tidbit.