the themes in Chapter 2, where Lady Russell is talking about the plan to relieve them of debt, in which Anne is included via the former seeking her input:

CH. 2 -

"They must retrench; that did not admit of a doubt. But she (Lady Russell) was very anxious to have it done with the least possible pain to him and Elizabeth. She drew up plans of economy, she made exact calculations, ***and she did what nobody else thought of doing: she consulted Anne, who never seemed considered by the others as having any interest in the question***. She consulted, and ***in a degree was influenced by her***, in marking out the scheme of retrenchment which was at last submitted to Sir Walter. ***Every emendation of Anne's had been on the side of honesty against importance***. She wanted more vigorous measures, a more complete reformation, a quicker release from debt, ***a much higher tone of indifference for every thing but justice and equity***."

I wonder if the reason Anne was left out of these matters usually was because she showed little interest, or the others just didn't think of her, or just plain didn't like her values?

It's clear in the passage indicated that Anne's values are high and she contributes her ideas from that basis, and Lady Russell uses a lot of her proposals in the final plan. The higher tone of indifference to everything but equality and justice show just how high Anne's values really are! From this indicator, it makes sense she will hold out for a heart involved love, rather than just a practical rank related match.

What fascinates me most is that Anne is momentarily tempted, and I think JulieW has a point about Lady Russell emotionally blackmailing her Godchild. Because her Godmother values rank, as her weakness, above other things, as we are told earlier in the abovementioned chapter, she steers Anne now gently on that course.

It is a very emotionally charged moment, for which you could understand Anne being persuaded, from a naturally sentimental basis, quite easily. Yet she isn't, and does not bend, even in this circumstance.