Picard never would have gotten that far in the Delta Q., he would have gone screaming like a little girl every time he saw a Borg Cube.Lets see I'm gonna give 3 examples of Janeways constant disregard of the TPD
1 In the Episode Eye of the Needle she send Information to the Romulans 28 years into the past .No matter how trivial any information transmitting anything after they had realized the tempural distortion.
2 Episode "timeless" It was Harry who originaly broke the TPD but after they had realized that it was future Kim , Capt. Janeway still gave Kim the Transmitted message.
Finaley my favorite Endgame 3 seperate time in that two hour episode did she break it
Future Janeway traveling back
Present Janeway accepting the shield and torpedo upgrageds
and simply useing the transwarp hub
Future Janeway asks her counterpart "what about your Precious Prime Directive" to the responce of "the hell with the Prime Directive' " . I think that pritty much defines Janeway as a captain. If the Enterprise was trapped in the DQ you would never have seen Picard make the same deccision.
The Prime Directive was already broken when future Janeway made contact with present Janeway and told her Seven was going to die. Anything said after is irrelevant. Either way, nothing bad came of it since she still got to become Admiral anyway.
Temporal Prime Directive was broken when Braxton failed in his attempt to stop Henry Starling in "Future's End". Janeway didn't break it in "Timeless" either, future Harry already did when he sent the co-ordinates back to Seven to correct the slipstream.