Yes,  I think you are correct.   When I run this,

describe extended <table> timestamp

I can see that no statistics are being calculated.    Now I will have to ask a rookie question,  is there a list of data types that do not have statistics tracked?

col_name timestamp
data_type timestamp_ntz
comment NULL
min NULL
max NULL
num_nulls NULL
distinct_count NULL
avg_col_len NULL
max_col_len NULL
histogram NULL