LTC2324 tCYC Time between Conversions Max time

Q:

LTC2324-12 Datasheet Page 5 Line:

tCYC    Time between Conversions            (Note 11)  tCYC = tCNVH + tCONV + tREADOUT   min 0.5us  max 1000us

and Page 6  Note 11:

Note 11: Guaranteed by design, not subject to test.

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So, the minimum Sampling Frequency is 1/1000us = 1KSPS ? If Time between Conversions  is more than 1000us, the adc accuracy will be lost , or something is going wrong?

For application with variable tCYC, for example,  if tcyc sequence  like this : 1s 0.5s 100ms 10us  10s 1us 2ms 1us 1us 1us 5s........  , does the adc results will be right?

Thanks.

Does this can be applied for LTC2325 LTC2320 LTC2351  LTC2357 ...series?

Thanks.