3rd or 1st pacer does not make any difference. We should see how they both did home and away individually.
After remoing few test in start and few tests in End,
Walsh ( 1 Jan 86 - 15 Nov 2000) has Avg of 24 home and Away 23.xx
Anderson ( after 2010) has avg of of 22.5 home
Difference between away is far bigger than differnce between home if you see record for both.
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Also, performing at home and performing away are not really same despite both getting counted in career avg. To illustrate the point, during Anderson's good period, you can see that many have good home and as result good career avg, but when you see away it's a totally different situation.
After 2010: bowlers with 100 plus wickets at home and sub 25 avg - 13
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After 2010: bowlers with 100 plus wickets Home+Away and sub 25 avg - 11
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But situation changes a lot as soon as you look for away,
After 2010: bowlers with 100 plus wickets at home and sub 25 avg - Only 2
View attachment 44481
Anyway, Walsh and Anderson both are very good bowlers but comparing career avg is not going tell us quality of bowlers. Jadeja will otherwise go down as an ATG.