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Constant On-time Regulator , minimum load and variable load?

Other Parts Discussed in Thread: LM25011, LM25017

Hello,

How is stability Constant On-time Regulator for example LM25011 or synchnous cersion LM25017

at zero or almost zero load, for example, 1 mA or less (equipment in a sleeping state) ?
if so, which is effective in order to load 10 mA

Second question

LM 25011 is suitable for this type of load?

 100s 1mA, 5mS 100mA, follow burst 2A at 0,5ms etc.