I had a long response written out but my browser barfed. Short answer is "yes". Longer answer is "it depends" on the size of the budget/deal, the business function that the manager fulfills, and the size of your organization as a whole:
* Business function: If you're customer facing, most [project|practice|field|support]managers should be sticking their nose into day-to-day projects, especially when a bad message needs to be delivered (e.g. the product we sold you will fall short of your expectations). This is not only because the customer will be incensed, but because there may also be commercial repercussions (e.g. SLA penalties) that you may not be aware of in umbrella master [service|support|license] agreements.
* Deal/budget size: Typically, the larger a manager's deal or budget, the more headcount they have. And the more headcount on a project|team|division, the more intermediate managers there will be to layer the manager in question. Hence, if the deal size is rather large, in most cases managers will not get involved on a day-to-day basis, but should be available for escalations (presuming an account management role for larger deal sizes). If the deal size is usually smaller, more than likely the manager will be more involved (e.g. as a project manager).
* Org size: BDC - not usually. Startup - usually yes.
* Business function: If you're customer facing, most [project|practice|field|support]managers should be sticking their nose into day-to-day projects, especially when a bad message needs to be delivered (e.g. the product we sold you will fall short of your expectations). This is not only because the customer will be incensed, but because there may also be commercial repercussions (e.g. SLA penalties) that you may not be aware of in umbrella master [service|support|license] agreements.
* Deal/budget size: Typically, the larger a manager's deal or budget, the more headcount they have. And the more headcount on a project|team|division, the more intermediate managers there will be to layer the manager in question. Hence, if the deal size is rather large, in most cases managers will not get involved on a day-to-day basis, but should be available for escalations (presuming an account management role for larger deal sizes). If the deal size is usually smaller, more than likely the manager will be more involved (e.g. as a project manager).
* Org size: BDC - not usually. Startup - usually yes.