No. of Recommendations: 3
<let's say I buy into a bond fund at $1,000 per month. In a month when the NAV is low, I purchase more shares of the fund - when the NAV is high, the $1,000 buys less shares - so over time my cost per share should work out well. It would work that way with a stock fund anyway - I'm wondering if the same holds true for a bond fund?>

Yes, it does hold true.

Not really, or not in a meaningful way. If over the next 5 years you dollar cost average into a bond fund during a period of historically low interest rates, then 20 years from now you dollar cost average out during a period of historically average interest rates, all the shares bought over the next 5 years will be sold for an average loss. Bond fund NAVs are not expected to go up over time, which is what people hope will happen with stock fund NAVs.
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