In Odoo10 you can do the following:

<field name="myfield" attrs="{'invisible': [('product_id','!=', %(other_module.xml_id)d)]}"/>

Source: https://answers.launchpad.net/openobject-server/+question/181987

Sorry valentin, you can't do this.

`ref()` can only be used inside `eval` XML attributes (which is evaluated by Odoo's `safe_eval` module) as in the following example:

https://github.com/odoo/odoo/blob/8.0/addons/account/account_bank_view.xml#L42 

If your product is well known (you're already referring it by their External-ID in your example), you may try referring other field with a known value, like the product `code` ("Internal Reference") or  `ean13` ("EAN13 Barcode"):

<field name="myfield" attrs="{'invisible': [('product_id.code', '!=', 'SOME.PRODUCT.CODE')]}"/>

Regards.

I think you can't hide columns in tree view depending on some choices in the runtime. This is straightforward in form views and could be achieved using attrs tag.