As per Parashara smirti, Shudras were considered less pure to perform some auspicious activities.
Is there any vedic statement which supports this claim?
As per Parashara smirti, Shudras were considered less pure to perform some auspicious activities.
Is there any vedic statement which supports this claim?
For the question in the title there can not be any answer because as far as I know, the Vedas don't talk about temples.
So, I am answering the following question:
As per Parashara smirti, Shudras were considered less pure to perform some auspicious activities.
Is there any vedic statement which supports this claim?
Yes, we have some statement of that sort which is found in the Krishna Yajurveda (KYV):
TasmAt-chudro yajnehanavaklapto na hi devatA anvasrijata ....
KYV KAnda 7, PrapAthaka 1, anuvAka 1.
The translation of the bold part is " Shudras are not thought of for (or as performers of) Yajnas" which can be interpreted as "Shudras are not fit for performing sacrifices".
However, this particular AnuvAka is talking about two specific sacrifices called Jyotishtoma and Agnishtoma which are both part of the larger SomayAg.
So, it can be that the Shudras are not considered fit for performing these particular sacrifices.
Because, in general, the Smritis (which elucidate the Vedic Dharma only), allow the Shudra to do Yajnas of smaller magnitudes like say PAka Yajnas, Loukika Homas.