SET is faster on single runs. You can prove this easily enough. Whether or not it makes a difference is up to you, but I prefer SET, since I don't see the point of SELECT if all the code is doing is an assignment. I prefer to keep SELECT confined to SELECT statements from tables, views, etc.
Here is a sample script, with the number of runs set to 1:
SET NOCOUNT ON
DECLARE @runs int
DECLARE @i int, @j int
SET @runs = 1
SET @i = 0
SET @j = 0
DECLARE @dtStartDate datetime, @dtEndDate datetime
WHILE @runs > 0
BEGIN
SET @j = 0
SET @dtStartDate = CURRENT_TIMESTAMP
WHILE @j < 1000000
BEGIN
SET @i = @j
SET @j = @j + 1
END
SELECT @dtEndDate = CURRENT_TIMESTAMP
SELECT DATEDIFF(millisecond, @dtStartDate, @dtEndDate) AS SET_MILLISECONDS
SET @j = 0
SET @dtStartDate = CURRENT_TIMESTAMP
WHILE @j < 1000000
BEGIN
SELECT @i = @j
SET @j = @j + 1
END
SELECT @dtEndDate = CURRENT_TIMESTAMP
SELECT DATEDIFF(millisecond, @dtStartDate, @dtEndDate) AS SELECT_MILLISECONDS
SET @runs = @runs - 1
END
RESULTS:
Run #1:
SET_MILLISECONDS
5093
SELECT_MILLISECONDS
5186
Run #2:
SET_MILLISECONDS
4876
SELECT_MILLISECONDS
5466
Run #3:
SET_MILLISECONDS
4936
SELECT_MILLISECONDS
5453
Run #4:
SET_MILLISECONDS
4920
SELECT_MILLISECONDS
5250
Run #5:
SET_MILLISECONDS
4860
SELECT_MILLISECONDS
5093
Oddly, if you crank the number of runs up to say, 10, the SET begins to lag behind.
Here is a 10-run result:
SET_MILLISECONDS
5140
SELECT_MILLISECONDS
5266
SET_MILLISECONDS
5250
SELECT_MILLISECONDS
5466
SET_MILLISECONDS
5220
SELECT_MILLISECONDS
5280
SET_MILLISECONDS
5376
SELECT_MILLISECONDS
5280
SET_MILLISECONDS
5233
SELECT_MILLISECONDS
5453
SET_MILLISECONDS
5343
SELECT_MILLISECONDS
5423
SET_MILLISECONDS
5360
SELECT_MILLISECONDS
5156
SET_MILLISECONDS
5686
SELECT_MILLISECONDS
5233
SET_MILLISECONDS
5436
SELECT_MILLISECONDS
5500
SET_MILLISECONDS
5610
SELECT_MILLISECONDS
5266