Does this rose sucker if grown on its own roots?

The Gardeners' Chronicle May 27, 1843 (355-356)
To some of these Bourbon Roses, which bear seed very freely, we owe a new race, now distinguished as hybrid Bourbons, blooming but once in the summer; but their season of blooming is prolonged, owing to their origin in part from Roses that continue to bloom till autumn. Most undoubtedly these will form the finest of all standards, as their habit is so remarkably robust; one variety in particular I anticipate will, if budded on large stocks of the Dog-rose, soon form a large umbrageous tree. This unique and splendid Rose was raised by Monsieur Laffay from Celine, and has been named by him, the Great Western—laughably spelt in some of the French catalogues "Grande Wistern," a name the origin of which I have no doubt has puzzled many a French gardener. This Rose has leaves and shoots of astonishing luxuriance, and flowers of a deep and peculiar red, rivalling the largest Paeonies in size; a standard or a bush of this Rose, highly cultivated, will form one of the wonders of the Rosery. It should be budded on a very stout stock, otherwise the plant will soon become top-heavy: in mentioning this, I am reminded that cultivators often do not pay enough attention to the habits of their Roses when selecting stocks for them. Stout old stocks should always have some robust-growing varieties worked on them, for if a tea-scented or some delicate-growing Bourbon Rose is worked on a large stock, the sap is engendered faster than it can be taken away by the bud; many shoots are consequently repeatedly taken off; the producers of sap, the fibrous roots, then rot and die away; the sap-vessels close, and the plant, after languishing a season or two, also dies; therefore, on all large stocks the cultivator should bud the most luxuriant-growing varieties, such as the above and some of the following, which rival the Great Western in vigour of growth, and surpass most Roses in the beauty of their flowers.